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228332940 = 223511347997
BaseRepresentation
bin11011001110000…
…01010110001100
3120220122111220120
431213001112030
5431423123230
634353544540
75441540463
oct1547012614
9526574816
10228332940
11107984a10
1264575150
13383c7564
14224799da
15150a4310
hexd9c158c

228332940 has 96 divisors (see below), whose sum is σ = 700164864. Its totient is φ = 55138560.

The previous prime is 228332927. The next prime is 228332963. The reversal of 228332940 is 49233822.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228522 + ... + 229518.

It is an arithmetic number, because the mean of its divisors is an integer number (7293384).

Almost surely, 2228332940 is an apocalyptic number.

228332940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228332940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350082432).

228332940 is an abundant number, since it is smaller than the sum of its proper divisors (471831924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

228332940 is a wasteful number, since it uses less digits than its factorization.

228332940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 228332940 is about 15110.6895937942. The cubic root of 228332940 is about 611.2086936427.

The spelling of 228332940 in words is "two hundred twenty-eight million, three hundred thirty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 347 660 694 997 1041 1388 1735 1994 2082 2991 3470 3817 3988 4164 4985 5205 5982 6940 7634 9970 10410 10967 11451 11964 14955 15268 19085 19940 20820 21934 22902 29910 32901 38170 43868 45804 54835 57255 59820 65802 76340 109670 114510 131604 164505 219340 229020 329010 345959 658020 691918 1037877 1383836 1729795 2075754 3459590 3805549 4151508 5189385 6919180 7611098 10378770 11416647 15222196 19027745 20757540 22833294 38055490 45666588 57083235 76110980 114166470 228332940